THE UNIVERSAL KUMMER CONGRUENCES

DOI10.1017/S1446788712000493zbMath1355.11017arXiv0808.3544OpenAlexW2963937446MaRDI QIDQ2852275

Wei Zhao, Jianrong Zhao, Shao-Fang Hong

Publication date: 8 October 2013

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3544

zbMATH Keywords

\(p\)-adic valuationdouble factorialreduced partitionuniversal Bernoulli numberuniversal Kummer congruence

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Congruences in many variables (11D79) Congruences; primitive roots; residue systems (11A07)

Related Items (5)

On the number of solutions of two-variable diagonal quartic equations over finite fields ⋮ On hypergeometric Cauchy numbers of higher grade ⋮ Hypergeometric Euler numbers ⋮ The Lazard formal group, universal congruences and special values of zeta functions ⋮ Counting rational points of an algebraic variety over finite fields

Cites Work

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• Congruences for Bernoulli, Euler, and Stirling numbers
• The congruences of Clausen-von Staudt and Kummer for Bernoulli-Hurwitz numbers
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• Notes on Glaisher's congruences
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• On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson
• Kummer congruences for values of Bernoulli and Euler polynomials
• A CONGRUENCE FOR FACTORIALS
• WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS
• Bounds of divided universal Bernoulli numbers and universal Kummer congruences
• An analogue of the von Staudt-Clausen theorem

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